∫ √cot x/(1+√cot x)dx=?, x ∈[0,π/2], A.π/4 B.π/2 C. 0 D. 1

Question

Mark against the correct answer in the following:

\(\int\limits_0^{\pi/2}\cfrac{\sqrt{cot\,x}}{(1+\sqrt{cot\,x})}dx=?\)

∫ √cot x/(1+√cot x)dx=?, x ∈[0,π/2]

A.\(\cfrac{\pi}{4}\) 

B.\(\cfrac{\pi}{2}\) 

C. 0 

D. 1

Answer 1

Correct answer: A.\(\cfrac{\pi}{4}\)

So our integral becomes